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It is widely accepted that population genetics theory is the cornerstone of evolutionary analyses. Empirical tests of the theory, however, are challenging because of the complex relationships between space, dispersal, and evolution.…

Populations and Evolution · Quantitative Biology 2011-10-26 Kirill S. Korolev , Joao B. Xavier , David R. Nelson , Kevin R. Foster

How intracellular and extracellular signals are integrated by transcription factors is essential for understanding complex cellular patterns at the population level. In this Letter, by using a synthetic genetic oscillator coupled to a…

Quantitative Methods · Quantitative Biology 2009-03-24 Jiajun Zhang , Zhanjiang Yuan , Tianshou Zhou

Molecular communication is an expanding body of research. Recent advances in biology have encouraged using genetically engineered bacteria as the main component in the molecular communication. This has stimulated a new line of research that…

Information Theory · Computer Science 2012-09-13 Arash Einolghozati , Mohsen Sardari , Faramarz Fekr

Today's deep learning architectures are primarily based on perceptron models, which do not capture the oscillatory dynamics characteristic of biological neurons. Although oscillatory systems have recently gained attention for their closer…

Machine Learning · Computer Science 2025-10-14 Zhongju Yuan , Geraint Wiggins , Dick Botteldooren

Building mathematical models of brains is difficult because of the sheer complexity of the problem. One potential starting point is through basal cognition, which gives abstract representation of a range of organisms without central nervous…

Neurons and Cognition · Quantitative Biology 2024-11-08 Linnéa Gyllingberg , Yu Tian , David J. T. Sumpter

Originally motivated by the morphogenesis of bacterial microcolonies, the aim of this article is to explore models through different scales for a spatial population of interacting, growing and dividing particles. We start from a microscopic…

Analysis of PDEs · Mathematics 2025-01-07 Marie Doumic , Sophie Hecht , Marc Hoffmann , Diane Peurichard

Cells receive a wide variety of cellular and environmental signals, which must be processed combinatorially to generate specific and timely genetic responses. We present here a theoretical study on the combinatorial control and integration…

Soft Condensed Matter · Physics 2007-05-23 Nicolas E. Buchler , Ulrich Gerland , Terence Hwa

It is an intriguing concept to use oscillators as fundamental building blocks of electronic computers. The idea is not new, but is currently subject to intense research as a part of the quest for 'beyond Moore' electronic devices. In this…

Emerging Technologies · Computer Science 2018-05-24 Gyorgy Csaba , Wolfgang Porod

The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several distinct populations. The oscillators in a…

Dynamical Systems · Mathematics 2009-11-13 Ernest Barreto , Brian Hunt , Edward Ott , Paul So

Oscillations lie at the core of many biological processes, from the cell cycle, to circadian oscillations and developmental processes. Time-keeping mechanisms are essential to enable organisms to adapt to varying conditions in environmental…

Machine Learning · Statistics 2015-04-27 D Trejo , AJ Millar , G Sanguinetti

Bioreactors are widely used in many industries to generate a range of products using various host cells e.g., yeast, insect, and mammalian cells. Depending on the process, product, and host cell, some bioreactors exhibit sustained periodic…

Quantitative Methods · Quantitative Biology 2023-06-29 Pavan Inguva , Krystian Ganko , Alexis B. Dubs , Richard D. Braatz

Genetically encoded regulatory circuits control biological function. A major focus of systems biology is to understand these circuits by establishing the relationship between specific structures and functions. Of special interest are…

Molecular Networks · Quantitative Biology 2017-08-17 Ruben Perez-Carrasco , Chris P. Barnes , Yolanda Schaerli , Mark Isalan , James Briscoe , Karen M. Page

Many biological oscillators are arranged in networks composed of many inter-coupled cellular oscillators. However, results are still lacking on the collective oscillation period of inter-coupled gene regulatory oscillators, which, as has…

Systems and Control · Computer Science 2012-06-05 Yongqiang Wang , Yutaka Hori , Shinji Hara , Francis J. Doyle

We use the lac operon in Escherichia coli as a prototype system to illustrate the current state, applicability, and limitations of modeling the dynamics of cellular networks. We integrate three different levels of description -molecular,…

Molecular Networks · Quantitative Biology 2007-05-23 J. M. G. Vilar , C. C. Guet , S. Leibler

It has been recently shown that the exponential growth rate of a population of bacterial cells starting from a single cell shows transient oscillations due to early synchronized bursts of division. These oscillations are enhanced by cell…

Populations and Evolution · Quantitative Biology 2024-08-05 Yaïr Hein , Farshid Jafarpour

Bacteria are easily characterizable model organisms with an impressively complicated set of capabilities. Among their capabilities is quorum sensing, a detailed cell-cell signaling system that may have a common origin with eukaryotic…

Neurons and Cognition · Quantitative Biology 2017-09-14 Archana Ram , Andrew Lo

As it is getting increasingly difficult to achieve gains in the density and power efficiency of microelectronic computing devices because of lithographic techniques reaching fundamental physical limits, new approaches are required to…

Emerging Technologies · Computer Science 2017-07-05 Jean C. Coulombe , Mark C. A. York , Julien Sylvestre

Understanding cell fate selection remains a central challenge in developmental biology. We present a class of simple yet biologically-motivated mathematical models for cell differentiation that generically generate oscillations and hence…

Dynamical Systems · Mathematics 2021-10-08 Saeed Farjami , Karen Camargo Sosa , Jonathan H. P. Dawes , Robert N. Kelsh , Andrea Rocco

Self-sustained oscillators are ubiquitous and essential for metrology, communications, time reference, and geolocation. In its most basic form an oscillator consists of a resonator driven on-resonance, through feedback, to create a periodic…

Mesoscale and Nanoscale Physics · Physics 2013-05-21 L. G. Villanueva , E. Kenig , R. B. Karabalin , M. H. Matheny , R. Lifshitz , M. C. Cross , M. L. Roukes

A minimalistic model of the half-center oscillator is proposed. Within it, we consider dynamics of two excitable neurons interacting by means of the excitatory coupling. In the parameter space of the model, we identify the regions of…

Dynamical Systems · Mathematics 2021-03-02 A. G. Korotkov , T. A. Levanova , M. A. Zaks , G. V. Osipov